On the Poisson Structure of the Time-Dependent Mean-Field Equations For Systems of Bosons out of Equilibrium

Annals of Physics

Volumn 264, Issue 1, 1998, Pages 1-12

  Benarous, Mohamed ^a  

^a 91405 Orsay Campus   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039449900     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1006/aphy.1997.5755     Document Type: Article

References (23)

1. Dirac P. A. M. Proc. Cambridge Philos. Soc. 26:1930;376.
2. Arnold V. I. Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics. 60:1978;Springer-Verlag, New York.
3. Marsden J. E. Fluids and Plasmas: Geometry and Dynamics. Contemporary Mathematics. 28:1984;Amer. Math. Soc. Providence.
4. Balian R., Vénéroni M. Ann. Phys. (N.Y.). 195:1989;324.
5. Marsden J. E., Morrison P. J., Weinstein A. Cont. Math. 28:1984;115.
6. Morrison P. J. Mathematical Methods in Hydrodynamics and Integrability in Related Dynamical Systems. AIP Conf. Proc. 88:1982.
7. Sudarshan E. C. G., Mukunda N. Classical Mechanics: A Modern Perspective. 1983;Krieger, Melbourne.
8. Littlejohn R. G. J. Math. Phys. 20:1979;2245.
9. Frenkel J. Wave Mechanics, Advanced General Theory. 1934;Oxford Univ. Press, Oxford.
10. Fetter A. L., Walecka J. D. Quantum Theory of Many-Particle Systems. 1971;MacGraw-Hill, New York.
11. Landau L., Lifschitz E. Physique Statistique. 1978;Ed. Librairie du Globe, France.
12. Gross E. P. Nuovo Cimento. 20:1961;454.
13. Griffin A., Snoke D. W., Stringari S. Bose-Einstein Condensation. 1995;Cambridge Univ. Press, Cambridge.
14. Balian R., Vénéroni M. Phys. Rev. Lett. 47:1981;1353.
15. Balian R., Vénéroni M. Ann. Phys. (N.Y.). 164:1985;334.
16. Balian R., Vénéroni M. Ann. Phys. (N.Y.). 187:1988;29.
17. M. Benarous, IPN-Orsay-France, 1991.
18. M. Benarous, H. Flocard.
19. Balian R., Brezin E. Nuovo Cimento B. 64:1969;37.
20. Balian R., Vénéroni M. Nucl. Phys. B. 408:1993;445.
21. Kramer P., Saraceno M. Geometry of the Time-Dependent Variational Principle. Lecture Notes in Physics. 140:1981;Springer-Verlag, Berlin.
22. Kerman A. K., Koonin S. E. Ann. Phys. (N.Y.). 100:1976;332.
23. Weinstein A. Cont. Math. 28:1984;3.